Make Fall Term Math Easy! A Calculus II Crash Course
SAT Score Range
•
6 sessions
•
JM
BG
WA
+1
This series ended on August 12, 2024. All 1:1 and group chats related to this series are disabled 7 days after the last session.
About
This course is meant primarily for students of all ages who have a grasp on the definitions of limits, derivatives, and integrals from Calc 1. However, the lessons are open to anyone that wants to become familiar with the 5 most-discussed topics in Calc 2!
The 5 sessions I have planned are as follows:
1. Various integral evaluation techniques & suggestions for the few most useful integrals to memorize. (60 minutes)
2. Solids of revolution (60 minutes)
3. Improper integrals (60 minutes)
4. Maclaurin and Taylor Series (60 minutes)
5. Convergence and Various tests (60 minutes)
I will offer some in and out-of-lesson practice into these topics as well as a few resources (online integral calculators / extensive practice problem worksheets) that provided me tremendous help in doing well in Calc 2.
Tutored by
Schedule
✋ ATTENDANCE POLICY
You are free to attend or skip whichever sessions you want. Please message me if you don't think you can make it.
SESSION 1
2
Aug
SESSION 1
Integration and accumulation of change
Integration and accumulation of change
Fri 9:00 PM - 10:00 PM UTCAug 2, 9:00 PM - 10:00 PM UTC
1. U-substitutions
2. Integration by parts
3. Partial fractions / Polynomial Long Division
4. Practice with recurring integrals to memorize.
SESSION 2
5
Aug
SESSION 2
Integration and accumulation of change
Integration and accumulation of change
Mon 9:00 PM - 10:00 PM UTCAug 5, 9:00 PM - 10:00 PM UTC
1. Disk Method
2. Shell Method
3. Practice
SESSION 3
6
Aug
SESSION 3
Integration and accumulation of change
Integration and accumulation of change
Tue 9:00 PM - 10:00 PM UTCAug 6, 9:00 PM - 10:00 PM UTC
1. Proper notation of improper integrals
2. Special rules for evaluating these integrals
3. Practice
SESSION 4
7
Aug
SESSION 4
Integration and accumulation of change
Integration and accumulation of change
Wed 9:00 PM - 10:00 PM UTCAug 7, 9:00 PM - 10:00 PM UTC
1. What are Maclaurin Series and Taylor Series?
2. Calculating these series
3. Practice with recurring series to memorize
SESSION 5
8
Aug
SESSION 5
Integration and accumulation of change
Integration and accumulation of change
Thu 10:30 PM - 11:30 PM UTCAug 8, 10:30 PM - 11:30 PM UTC
1. What is convergence? What is divergence?
2. Harmonic series, alternating series, geometric series, P-series
SESSION 6
12
Aug
SESSION 6
Integration and accumulation of change
Integration and accumulation of change
Mon 9:00 PM - 10:00 PM UTCAug 12, 9:00 PM - 10:00 PM UTC
1. Comparison Test
2. Ratio test
3. Limit Comparison Test
4. Error Bound Introduction